Solving Constraint Satisfaction Problems Containing Vectors Of Unknown Size

PRINCIPLES AND PRACTICE OF CONSTRAINT PROGRAMMING (CP 2017)(2017)

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摘要
Constraint satisfaction problems (CSPs) are used to solve real-life problems with inherent structures that contain vectors for repeating sets of variables and constraints. Often, the structure of the problem is a part of the problem, since the number of elements in the vector is not known in advance. We propose a method to solve such problems, even when there is no maximal length provided. Our method is based on constructing a vector size CSP from the problem description, and solving it to get the number of elements in the vector. We then use the vector size to construct and solve a CSP that has a specific number of elements. Experimental results show that this method enables fast solving of problems that cannot be solved or even constructed by existing methods.
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关键词
Constraint satisfaction problems, Unbounded vector size
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